If the function f(x)=2x3−9ax2+12a2x+1, where a>0, attains its local – InterviewSolution

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1.	If the function f(x)=2x3−9ax2+12a2x+1, where a>0, attains its local maximum and local minimum at p and q respectively such that p2=q, then a is equal to
Answer» If the function $f (x) = 2 x^{3} - 9 a x^{2} + 12 a^{2} x + 1,$ where $a > 0,$ attains its local maximum and local minimum at $p$ and $q$ respectively such that $p^{2} = q,$ then $a$ is equal to

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